On the Equivalence of Generalized Ricci Curvatures

Gil r. Cavalcanti; Jaime Pedregal; Roberto Rubio

doi:10.1090/proc/17165

On the Equivalence of Generalized Ricci Curvatures

Gil r. Cavalcanti^*, Jaime Pedregal, Roberto Rubio

^*Corresponding author for this work

Sub Fundamental Mathematics

Autonomous University of Barcelona

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.

Original language	English
Pages (from-to)	2639-2648
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	153
Issue number	6
Early online date	24 Mar 2025
DOIs	https://doi.org/10.1090/proc/17165
Publication status	E-pub ahead of print - 24 Mar 2025

Keywords

Duality

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abstract = "We prove the equivalence between the several notions of generalized Ricci curvature found in the literature. As an application, we characterize when the total generalized Ricci tensor is symmetric.",

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On the Equivalence of Generalized Ricci Curvatures

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